Martin van Beek

Martin van Beek

Heilbronn Research Fellow

University of Manchester

I am a Heilbronn Research Fellow at the University of Manchester. Broadly, I study group theory.

I am currently interested in local group theory, specifically through the lens of saturated fusion systems over p-groups and their interactions with group amalgams. In fusion systems, my current research focuses on recognizing the p-fusion categories of simple groups of Lie type from prescribed local actions.

Alongside this, I am interested in exotic fusion systems at odd primes, and the applications of fusion systems to representation theory and homotopy theory.

A PDF copy of my CV is here .

Interests
  • Fusion Systems
  • Amalgams of Finite Groups
  • Finite Local Group Theory
Education
  • PhD in Pure Mathematics, 2022

    University of Birmingham

  • MASt in Mathematical Sciences, 2017

    University of Warwick

  • BSc in Mathematics, 2016

    University of Glasgow

Publications

Books/Monographs

  • van Beek, M. (2023). Rank 2 Amalgams and Fusion Systems. Lecture Notes in Mathematics (Accepted).

Published Papers

Submitted Papers

  • van Beek, M. (2023). Saturated Fusion Systems on Sylow $p$-subgroups of Rank $2$ Simple Groups of Lie Type. Submitted.

  • van Beek, M. (2022). Exotic Fusion Systems Related to Sporadic Simple Groups. Submitted.

Employment

 
 
 
 
 
University of Manchester
Heilbronn Research Fellow
University of Manchester
Oct 2022 – Present
 
 
 
 
 
University of Birmingham
Research Fellow
University of Birmingham
Nov 2021 – Oct 2022

Teaching

Starting February 2024, I will be teaching a short postgraduate course titled “Topics in Finite $p$-groups.” The notes and problem sheets should appear here whenever the course finishes.

Contact